What is the value of x in this figure?123√

122√

63√

6

A right triangle with both legs shown with one tick mark. One of the legs is labeled 12. The hypotenuse is labeled x.
What is the value of x in this figure? 123√ - 1

Answers

Answer 1
Answer:

Here we use the Pythagoras theorem

According to this, in a right angled triangle, the sum of the squares of the lengths of the two sides is equal to the hypotenuse

is "a" and "b" are the sides, and "h" is the hypotenuse, then :

a^(2)+  b^(2) = h^(2)

In the given problem, a = b = 12 and h = x

12^2 + 12^2 = x^2

So, x =\sqrt{12^(2)  + 12^2

x = √(144 + 144)

X =√(288)

X = 12√(2) (Option B)

Answer 2
Answer: The answer is the second choice, 12√2

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Which property of addition is shown below? a + bi + c + di = a + c + bi + di

Answers

I think the property of this addition problem is  commutative property  

Jayden gets a piece of candy for every 15 minutes he spends reading each day. The number of pieces of candy he receives each day is shown in the chart Monday = * * * Tuesday = * * Wednesday = * * * * * Thursday = Friday = * * * * If he spends 300 minutes reading during the week, how many pieces of candy did Jayden get on Thursday?

Answers

Answer:

20 peices

Step-by-step explanation:

When rolling two standard cubes (6-sided die), what is the probability that you roll sum of 11? Convert your answer to decimal form, then round to 3 decimal places

Answers

Answer:

Step-by-step explanation:

There are only two ways to roll a sum of 11 (5,6),(6,5) out of 36 possible outcomes so

P(11)=2/36=1/18

as a rounded decimal 0.056

Consider a game in which players roll a number cube to determine the number of points earned. If a player rolls a prime number, that many points will be added to the player’s total. Any other roll will be deducted from the player’s total. What is the expected value of the points earned on a single roll in this game?

Answers

The expected value of the points earned on a single roll in the game would take into account the probability of the numbers of the cube and whether or not they're prime. If the cube is a dice with numbers 1 to 6, then the expected value of the points would be:
P = 1(1/6) + 2(1/6) + 3(1/6) - 4(1/6) + 5(1/6) - 6(1/6)
P = 1/6 or 0.1667

Jasmine wants to use her savings of $1128 to buy video games and music CDs. The total price of the music CDs she bought was $72. The video games cost $43 each. What is the maximum number of video games that Jasmine can buy with her savings?

Answers

Answer

Find out the number of video games that Jasmine can buy with her savings .

To proof

Let us assume that the number of video games Jasmine can buy  be x .

As given

Jasmine wants to use her savings of $1128 to buy video games and music CDs.

The total price of the music CDs she bought was $72. The video games cost $43 each.

Than the equation becomes

72 + 43× x = 1128

simplify

72 + 43x = 1128

43x = 1128 - 72

43x = 1056

x = (1056)/(43)

x = 24.6 (approx)

Take

x = 24

Therefore the maximum number of video games that Jasmine can buy with her savings be 24 .

Hence proved

she can buy 24 video games
1128-72=1056
1056/43=24

What is the quality a design has if it maintains all characteristics when it is rotated about a point lying in its plane?

Answers

Answer:

The answer is rotational symmetry.

Step-by-step explanation:

The Rotational symmetry is the quality a design has if it maintains all characteristics when it is rotated about a point lying in its plane. A shape is said to possess rotational symmetry when it still looks the same after we rotate it.